1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
4vir4ik [10]
3 years ago
15

Can you please help me olve theses

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0
<h3>Answer:</h3>

f(x) = 0 \text{ when } x = \bold{1}

f(-7) =\bold{224}

<h3>Step-by-step explanation:</h3>

Solving for the input, \bold{x}, given the output:

Given:

f(x) = 4x -4

Solving for x from the equation, f(x) = 0:

f(x) = 0 \\ 4x -4 = 0 \\ 4x = 4 \\ x = \frac{4}{4} \\ x = 1

Solving for the output, \bold{f(x)}, given the input.

Given:

f(x) = 4x^2 -4x

Solving f(-7):

f(-7) = 4(-7)^2 -4(-7) \\ f(-7) = 4(49) -4(-7) \\ f(-7) = 196 +28 \\ f(-7) = 224

You might be interested in
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun
WITCHER [35]

Answer:

Required solution (a) f(x,y,z)=xyz+3z^2+C (b) 40.

Step-by-step explanation:

Given,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k

(a) Let,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}

Then,

f_x=yz,f_y=xz,f_z=xy+6z

Integrating f_x we get,

f(x,y,z)=xyz+g(y,z)

Differentiate this with respect to y we get,

f_y=xz+g'(y,z)

compairinfg with f_y=xz of the given function we get,

g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)

Then,

f(x,y,z)=xyz+h(z)

Again differentiate with respect to z we get,

f_z=xy+h'(z)=xy+6z

on compairing we get,

h'(z)=6z\implies h(z)=3z^2+C   (By integrating h'(z))  where C is integration constant. Hence,

f(x,y,z)=xyz+3z^2+C

(b) Next, to find the itegration,

\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40

3 0
3 years ago
Help! If anyone knows thanks
DerKrebs [107]
A:
2t
t is the number of toys

b:
(p+12)/16
p is the price
6 0
3 years ago
Read 2 more answers
Solve for x -6x+3≥21 a. x ≤ -3 b. x ≥ -3 c. x ≤ 3
natulia [17]
Im pretty sure it’s going to be a, because when you divide by the -6 you’re supposed to switch the sign
6 0
3 years ago
Read 2 more answers
Given line BD is congruent to BC, find the measure of angle B
Degger [83]
If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°
5 0
3 years ago
Find the arc length of the partial circle.
Sliva [168]

Answer:

1/2pi

Step-by-step explanation:

Since the formula for circumference is 2*pi*r and we know the R=1 so the of the whole circle is 2pi. This is a quarter of a circle so the answer is 1/2pi  

6 0
3 years ago
Other questions:
  • Divide 6.391 ÷ 0.57. Round the quotient to the nearest hundredth.
    7·1 answer
  • What's the answer <br>1-(-5)
    7·2 answers
  • Please help me there are 2 answers Thank you
    7·1 answer
  • HELP I NEED ANSWERS NOW!!
    9·1 answer
  • P = R - C / N solve for C<br> i’ll give brainliest :)
    7·2 answers
  • If $100 is invested at 6% compounded (a)anually (b) quarterly(c) monthly
    15·1 answer
  • HELP ME 40 POINTS!!!
    10·1 answer
  • 50 Points! Will give brainliest!
    15·2 answers
  • Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?
    7·2 answers
  • there are 20 students in chess club. two students are to be selected for representing the club in a school meeting. in how many
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!